Short answer: r = 8
Remark
The easiest way to do this is to solve the sphere's volume in terms of pi. When you do this, you can equate that to the formula for a cylinder and cancel the pi values.
Step One
Find the volume of the sphere.
<em>Givens</em>
r = 6 cm
<em>Formula</em>
V = (4/3) pi r^3
<em>Sub and Solve</em>
V = 4/3 pi * 6^3
V = 288 * pi
Step two
Find the radius of the cylinder
<em>Givens</em>
V = 288* pi cm^3
h = 4.5 cm
<em>Formula</em>
V = pi r^h
<em>Sub and solve</em>
288 pi cm^3 = pi r^2 * 4.5 Divide both sides by pi
288 cm^3 = 4.5 r^2 Divide both sides by 4.5
388 / 4.5 = r^2
64 = r^2 Take the square root of both sides.
r = square root( 64)
r = 8 <<<<< Answer
The quadratic formula is
. With the values from this equation plugged in, it looks like this:
The solution is x = - 3/2
First, change the fraction (decimal and percent) into gallon
Martha used 17% of the total oil, that means
Martha = 17% × 8 gallons
Martha = 0.17 × 8 gallons
Martha = 1.36 gallons
Brett used 0.18 of the total oil
Brett = 0.18 × 8 gallons
Brett = 1.44 gallons
Mike used 0.7 gallons
Second, compare the number of gallon they used
1.36
1 acts as ones
3 acts as tenths
6 acts as hundreths
1.44
1 acts as ones
4 acts as tenths
4 acts as hundreths
0.7 or 0.70
0 acts as ones
7 acts as tenths
0 acts as hundreths
Compare the ones, 1.44 and 1.36 both have 1 as the ones, however 0.7 has 0 as ones. Because 1 is greater than 0, 1.44 and 1.36 are greater than 0.7.
Now compare the tenth, 1.44 has 4 as the tenths, and 1.36 has 3 as the tenths. Because 4 is greater than 3, 1.44 is greater than 1.36.
1.44 > 1.36 > 0.7
Brett > Martha > Mike
Brett used the greatest amount of oil
Answer:
19/3>✓37>6.08171>6.012
Step-by-step explanation:
First change them to decimal by finding the exact values
